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2 years ago

What is the unit rate of students to teachers as a fraction

Mathematics

2 answers:

Sholpan [36]2 years ago

6 0

1/15 or 1 over 15 would be the simplified fraction of teachers to students. In other words, there are 15 students per 1 teacher.

aev [14]2 years ago

4 0

1 teacher per 15 students

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Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0

2 years ago

722000 = ×10 its scientific notation help please

koban [17]

Answer:

7.22 x 10^5

Step-by-step explanation:

Remember that the decimal is always to the right of the ones place.

1. Move it one place to the left and multiply by 10 to compensate.

2. Move it two places to left and multiply by 10^2.

3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.

4. Numbers after the 7 that are not zeros will be after the decimal point.

so, 7.22 x 10^5

3 0

2 years ago

A survey of 70 students from a high school is conducted. From this sample, it is found that 58 students have sent a text message

Irina-Kira [14]

Number of students who have sent a text message only is given by the difference between those that have sent a text message and those that have done both.
i.e. Number of students who has sent a text message only = 58 - 12 = 46

Number of students who have uploaded a selfie only is given by the difference between those that have uploaded a selfie and those that have done both.
i.e. Number of students who have uploaded a selfie only = 21 - 12 = 9

The total number of students surveyed is 70.
Let the number of students who have neither sent a text message nor taken a selfie today be x, then
46 + 9 + 12 + x = 70
67 + x = 70
x = 70 - 67 = 3

Therefore, 3 students neither sent a text message nor taken a selfie today.

The number of students that have sent a text message or have taken a selfie today is given by the sum of the number of students that have sent a text message and the number of students that have taken a selfie less the number of people that have done both.
i.e. number of students that have sent a text message or have taken a selfie today = 58 + 21 - 12 = 67.

7 0

3 years ago

To begin solving this system of linear equations by elimination,you can add the equations

oksian1 [2.3K]

Answer:

The Correct option is C. Addition Property of Equality.

For above Equation by Elimination we use

Addition Property of equality

Step-by-step explanation:

Given:

Addition Property of Equality :

The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Here equation is given as

3x + 4y = 38

+ 5x - 4y = -30

-------------------------------------

8x = 8

------------------------------------

Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.

For above Equation by Elimination we use

Addition Property of equality

5 0

3 years ago

When the x is slove and you have to slove for the y i got how to do it but i don't know which one am i sloving for in the equati

harina [27]

Since x=8y, subsitute 8y for x in other equation

y=6x-11
y=6(8y)-11
y=48y-11
minus y both sides
0=47y-11
add 11 to both sides
11=47y
divide both sides by 47
$\frac{11}{47}=y$
subsitute taht for y to find x

x=8y
$x=8(\frac{11}{47})$
$x=\frac{88}{47}$

$x=\frac{88}{47}$
$y=\frac{11}{47}$
in (x,y) form
(x,y)
$(\frac{88}{47},\frac{11}{47})$

3 0

2 years ago